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4256280 = 233357563
BaseRepresentation
bin10000001111001000011000
322000020112000
4100033020120
52042200110
6231121000
751114660
oct20171030
98006460
104256280
112447896
121513160
13b60412
147cb1a0
155911c0
hex40f218

4256280 has 128 divisors (see below), whose sum is σ = 16243200. Its totient is φ = 971136.

The previous prime is 4256267. The next prime is 4256281. The reversal of 4256280 is 826524.

4256280 = 1902 + 1912 + ... + 2692.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7279 + ... + 7841.

It is an arithmetic number, because the mean of its divisors is an integer number (126900).

Almost surely, 24256280 is an apocalyptic number.

4256280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4256280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121600).

4256280 is an abundant number, since it is smaller than the sum of its proper divisors (11986920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4256280 is a wasteful number, since it uses less digits than its factorization.

4256280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4256280 is about 2063.0753742896. The cubic root of 4256280 is about 162.0603341797.

The spelling of 4256280 in words is "four million, two hundred fifty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 563 630 756 840 945 1080 1126 1260 1512 1689 1890 2252 2520 2815 3378 3780 3941 4504 5067 5630 6756 7560 7882 8445 10134 11260 11823 13512 15201 15764 16890 19705 20268 22520 23646 25335 30402 31528 33780 35469 39410 40536 47292 50670 59115 60804 67560 70938 76005 78820 94584 101340 106407 118230 121608 141876 152010 157640 177345 202680 212814 236460 283752 304020 354690 425628 472920 532035 608040 709380 851256 1064070 1418760 2128140 4256280